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Birkhäuser - Birkhäuser Mathematics | Advances in Statistical Control, Algebraic Systems Theory, and Dynamic… - A Tribute to

Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics

A Tribute to Michael K. Sain

Won, Chang-Hee, Schrader, Cheryl B., Michel, Anthony N. (Eds.)

2009, XVIII, 366 p. 59 illus.

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  • No other comprehensive books on statistical control are available. Algebraic systems theory is also not widely published in book form
  • Real-world applications to biomedical engineering, structuring control systems, and automotive engineering
  • For a broad audience of researchers and graduate students in control systems, algebraic system theory, and applied mathematics
  • May be used as a textbook in a graduate course on optimal control or algebraic systems theory

This volume—dedicated to Michael K. Sain on the occasion of his seventieth birthday—is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts:

* Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants. In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control.

* Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linear multivariable systems, and zeros in linear time-delay systems.

* Part III discusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixed modes, direct optimal adaptive control, and stability of nonlinear systems with limited information.

* Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain's latest research interests.

The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory.

Content Level » Research

Keywords » Analysis - Statistical Control - algebra - algebraic systems theory - direct o - infinite-horizon minimal-cost variance - linear multivariable systems - multi-objective statistical control - optimal cost function - stability of discontinuous dynamic system - time-delay linear systems

Related subjects » Birkhäuser Applied Probability and Statistics - Birkhäuser Engineering - Birkhäuser Mathematics

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